On cocycle superrigidity for Gaussian actions

Details On cocycle superrigidity for Gaussian actions On cocycle superrigidity for Gaussian actions

2009-10-20

arxiv.org/abs/0910.3958v2

Mathematics

Operator Algebras

Generalized Theorem 3.1 and added Theorem 5.3.

Scientific paper

We present a general setting to investigate U_fin-cocycle superrigidity for Gaussian actions in terms of closable derivations on von Neumann algebras. In this setting we give new proofs to some U_fin-cocycle superrigidity results of S. Popa and we produce new examples of this phenomenon. We also use a result of K. Schmidt to give a necessary cohomological condition on a group representation in order for the resulting Gaussian action to be U_fin-cocycle superrigid.

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